Greatest Common Factor of 43/841, 925/753, 131/192

Created By : Jatin Gogia

Reviewed By : Rajasekhar Valipishetty

Last Updated : Apr 06, 2023

GCF of 43/841, 925/753, 131/192

Enter two or more fractions separated by "commas"

Ex: 2/3, 5/7 or 3/5, 5/9, 7/3

GCF of:

Greatest Common Factor of 43/841,925/753,131/192

Given fractions are 43/841,925/753,131/192

Formula to find GCF of Fractions is

GCF = GCF of Numerators/LCM of Denominators

As per the formula GCF of Fractions let’s split into two parts and find the GCF of Numerators and LCM of Denominators

In the given fractions GCF of Numerators means GCF of 43,925,131

Greatest Common Factor of Numerators i.e. GCF of 43,925,131 is 1 .

LCM of Denominators means LCM of 841,753,192 as per the given fractions.

LCM of 841,753,192 is 40529472 as it is the smallest common factor for both these numbers.

Lets's calculate GCF of 43,925,131

GCF of Fractions 43/841,925/753,131/192 is 1/40529472

∴ So GCF of numbers is 1 because of no common factors present between them.

Greatest Common Factor of 43,925,131 By Matching Biggest Common Factor Method

Greatest Common Factor of 43,925,131 By Matching Biggest Common Factor Method

Factors of 43

List of positive integer factors of 43 that divides 43 without a remainder.

1,43

Factors of 925

List of positive integer factors of 925 that divides 925 without a remainder.

1,5,25,37,185,925

Factors of 131

List of positive integer factors of 131 that divides 131 without a remainder.

1,131

Greatest Common Factor

We found the factors 43,925,131 . The biggest common factor number is the GCF number.
So the greatest common factor 43,925,131 is 1.

Lets's calculate LCM of 841,753,192

3 841, 753, 192
841, 251, 64

∴ So the LCM of the given numbers is 3 x 841 x 251 x 64 = 40529472

Thus GCF of Fractions = GCF of Numerators/LCM of Denominators = 1/40529472

Therefore, the GCF of Fractions 43/841,925/753,131/192 is 1/40529472

Least Common Multiple of 841,753,192 with GCF Formula

Least Common Multiple of 841,753,192 with GCF Formula

The formula of LCM is LCM(a1,a2,a3....,an) = ( a1 × a2 × a3 × .... × an) / GCF(a1,a2,a3....,an) x common factors(if more than 2 numbers have common factors).

We need to calculate greatest common factor of 841,753,192 and common factors if more than two numbers have common factor, than apply into the LCM equation.

GCF(841,753,192) = 1

common factors(in case of two or more numbers have common factors) = 3

GCF(841,753,192) x common factors =1 x 3 = 3

LCM(841,753,192) = ( 841 × 753 × 192 ) / 3

LCM(841,753,192) = 121588416 / 3

LCM(841,753,192) = 40529472


GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

GCF of Fractions Calculation Examples

Here are some samples of GCF of Fractions calculations.

Frequently Asked Questions on Fractional GCF of 43/841, 925/753, 131/192

1. How to find GCF in Fractions?

Answer: GCF of fractions can be found using the simple formula GCF of Fractions = GCF of Numerators/LCM of Denominators.

2. What is the GCF of Fractions for 43/841, 925/753, 131/192?

Answer: GCF of Numerators as per given numbers 43/841, 925/753, 131/192 is

GCF of Numerators i.e. for 43,925,131 is 1

LCM of denominators i.e. for 841,753,192 is 40529472.

Thus, GCF of Fractions is 1/40529472.Finally, GCF of Fractions for 43/841, 925/753, 131/192 is 1/40529472.